Spanish newspaper El Confidencial claimed that the Argentine tactician had been offered the position of manager with the Portuguese giants as current boss Jorge Jesus faces the axe after the club failed to secure silverware this season.
Benfica lost in the finals of the Europa League and Portuguese Cup while finishing second in the league to fierce rivals Porto which has not gone down well with the club's hierarchy at the Estadio Da Luz.
However the suggestion that Pochettino is the man Benfica want to come into the hot-seat this summer appears to be wide of the mark.
The club have refused to comment, but the Southampton Daily Echo is claiming that there has been no approach for the 41-year-old, who only replaced Nigel Adkins at St Mary's in mid-January.
Southampton would no doubt not welcome any offers for Pochettino, who would command a large compensation figure if he did leave, while he also publicly stated his desire to work alongside Saints' chairman Nicola Cortese earlier this month as the duo look to guide the club into European football in the future.